Question 1136072


 the equation in slope-intercept form:

{{{y=mx+b}}}
 
given:

({{{5}}}, {{{2}}}) and ({{{6}}},{{{ 1}}}) 

use given points to find slope {{{m}}}

{{{m=(y[2]-y[1])/(x[2]-x[1])}}}

{{{m=(1-2)/(6-5)}}}

{{{m=-1/1}}}

{{{m=-1}}}

so far equation is

{{{y=-x+b}}}.........plug in coordinates of one point to find {{{b}}}

{{{2=-5+b}}}

{{{b=2+5}}}

{{{b=7}}}


equation is

{{{y=-x+7}}}


{{{drawing( 600, 600, -10,10, -10, 10,
circle(5,2,.12),circle(6,1,.12),locate(5,2,p(5,2)),locate(6,1,p(6,1)),
 graph( 600, 600, -10,10, -10, 10, -x+7)) }}}